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Information Theory to Characterize Spatiotemporal Patterns of Seismicity in the Kanto Region

Departamento de Física Aplicada
Universidad de Almería
Almería, Spain
(A.P.)

Department of Human and Artificial Intelligent System
Fukui University
Fukui, Japan
(T.H.)

Instituto Geográfico Nacional
Madrid, Spain
(F.V.)

Instituto Andaluz de Geofísica y Prevención de Desastres Sísmicos
Granada, Spain
(A.P., F.V.)

This article proposes a quantitative method to characterize the spatiotemporal evolution of the seismic activity of a region for a given time interval. The technique is based on the fact that the model whose parameters maximize the mutual information is the best model. These parameters can provide a probabilistic characterization of the evolution of the earthquakes of a region in space and time. To do this, it is necessary to establish a propagation model (cross template [CT] model in this article) and reasonable criteria to decide when an area (whose size ß will be found by the model) is considered seismically activated in a period of time (whose value is also the result of the application of the method). The results found with the CT model are highly satisfactory and show that our model is a powerful tool to quantitatively characterize spatiotemporal seismic patterns.